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anonymous

  • one year ago

Hey guys. I need help on pre-cal. I don't really understand horizontal and vertical stretches besides the fact that "a stretch by a factor of c if c > 1" and "a shrink by a factor of c if c < 1" I will post the question below.

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  1. anonymous
    • one year ago
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  2. zepdrix
    • one year ago
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    Whenever you `multiply y by something`, it corresponds to a `vertical stretch`. Whenever you `multiply x by something`, it corresponds to a `horizontal stretch`.

  3. zepdrix
    • one year ago
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    Think of f(x) as y.

  4. zepdrix
    • one year ago
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    \[\large\rm \color{orangered}{y=\sqrt x}\]We achieve our new function multiplying both sides by 8,\[\large\rm 8\color{orangered}{y}=8\color{orangered}{\sqrt x}\] If f(x) = y Then g(x) = 8y This is a `vertical stretch` of f(x) by a factor of 8. We manipulated the y.

  5. zepdrix
    • one year ago
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    It might be confusing the way I said that you're `multiplying y by something`. But remember that this \(\large\rm \sqrt{x}\) is y. So when you multiply that by 8, you're multiplying y by 8, because that is y.

  6. zepdrix
    • one year ago
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    To make horizontal stretches, you multiply x by a value. Example:\[\large\rm f(x)=\sqrt{x}\qquad\to\qquad g(x)=\sqrt{4x}\]g(x) represents a `horizontal stretch` of f(x) by a factor of 4.

  7. anonymous
    • one year ago
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    Thank you so much! No, I understood you completely it was much easier understanding your explanation than the textbook's. Thank you. :)

  8. zepdrix
    • one year ago
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    yay \c:/

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